The old Dragon Quest games, Dragon Warrior in the US, have also always been accepted as good RPGs. Chrono Trigger has also left quite a mark on the old school games might be worth checking that one out as well.

Seiken Densetsu 3, AKA Secret of Mana 2 for the SNES. One of the best RPGs for the SNES. Lufia 2 is also very good, and Terranigma is also another great one.

There are a whole bunch of Squaresoft games on the SNES that never made it to the US or Europe that are amazing games, all of them have English translations now. I've played every one of them thanks to emulation.